Question

Draw the graph of f(x)=|sinx-x|
What can be the Basic approach to this question ​

Answer 1

Answer:

To find domain :

$f(x) = | \sin(x) - x|$

Separate the function into parts to determine the domain of each part.

$f(x) = | \sin(x) - x| \\ \sin(x) \\ x$

The domain of an absolute value function is set of all real numbers.

$For | \sin(x) - (x) | :$

$x \in R$

$For \sin x :$

$x \in R$

For x :

$x \in R$

To find y intercept :

To find y intercept , substitute value of x = 0

$f(0) = | \sin (0) - 0 |$

$f(0) = | \sin (0) |$

Use trigonometric Table or unit circle to calculate the expression.

$f(0) = | 0 |$